1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kruka [31]
3 years ago
14

Rationalize the denominator (-7x^2)/√(6x-6)

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0
\bf \cfrac{-7x^2}{\sqrt{6x-6}}\cdot \cfrac{\sqrt{6x-6}}{\sqrt{6x-6}}\implies \cfrac{-7x^2\sqrt{6x-6}}{\sqrt{(6x-6)^2}}\implies \cfrac{-7x^2\sqrt{6x-6}}{6x-6}

the idea being, getting rid of the pesky radical at the bottom, simply multiply it by something that'd raise it to the root, so it gets out :)
You might be interested in
LOOK AT THE PICTURE PLZ NEED HELP
Sunny_sXe [5.5K]

Answer:

J. 1.26

Step-by-step explanation:

Because it's getting multiplied by 1.26 every year.

7 0
3 years ago
Elena bought a backpacking tent to take with her on hiking trips.
Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0
3 years ago
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of th
Minchanka [31]
10 squared + 13 squared = your answer squared.
So do that then take the square root of whatever you get.
4 0
3 years ago
Which expression represents, five times the quotient of two numbers?
Tpy6a [65]

Answer:

0 5(5)

Step-by-step explanation:

7 0
3 years ago
Vivian found data about her city's population and made a scatter plot the equation of the linebbest fit for. Her data is p= 637.
Andre45 [30]

Answer:

annual growth rate m = 637.5 people / year

Step-by-step explanation:

Solution:-

- The scatter plot displaying the city's population was modeled by a linear equation of the form:

                               y = m*x + c

Where, m and c are constants.

- The scatter plot displayed the following relation of the city's population (p):

                               p = 637.5*t + 198,368.1

Where, p : The population in t years after after 1990

            t : The number of years passed since 1990.

- The slope of the graph "m = 637.5" denotes the rate of change of dependent variable with respect ot independent variable:

                             dp / dt = m = 637.5

- So the rate of change of population per unit time t since 1990 has been constant with a an annual growth rate m = 637.5 people / year

7 0
4 years ago
Other questions:
  • Please help!!!!!!!!!
    8·1 answer
  • Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2
    13·1 answer
  • Need help on this ASAPPPPPPPP
    9·2 answers
  • Thanks but who would like to help me with the rest ......working out for 63+9×72÷9-13
    10·2 answers
  • Taking algebra (9th grade) pls helpp
    12·1 answer
  • In your own words, write a verbal expression for the following algebraic expression.<br> 18p
    14·1 answer
  • Solve for r.<br> -13 = r/9 +8
    6·2 answers
  • This is part two of the problem
    6·2 answers
  • Which is the area of triangle LMN? Group of answer choices 24 square units 27 square units 54 square units 48 square units
    10·1 answer
  • Bill is traveling south and drives 45 miles per hour.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!